On Strong Convergence Theorems for END Sequences

Authors

  • Yamei Lu School of Mathematical Science, Anhui University, Hefei 230039, P.R.China
  • Yan Shen School of Mathematical Science, Anhui University, Hefei 230039, P.R.China
  • Rong Xu School of Mathematical Science, Anhui University, Hefei 230039, P.R.China
  • Xiaoqin Li School of Mathematical Science, Anhui University, Hefei 230039, P.R.China

DOI:

https://doi.org/10.4208/jms.v50n1.17.06

Keywords:

Convergence theorem, three series theorems, END random variable.

Abstract

In this paper, we study the strong law of large numbers for a sequence of END random variables. Our results extend the corresponding ones for independent random variables and negatively orthant dependent (NOD, in short) random variables.

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Published

2017-03-12

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Issue

Vol. 50 No. 1 (2017)

Section

Articles

How to Cite

On Strong Convergence Theorems for END Sequences. (2017). Journal of Mathematical Study, 50(1), 84-90. https://doi.org/10.4208/jms.v50n1.17.06